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Finding the Fourth Proportional to 1,280.57, 1,921.30 and 733.21

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Solution

The fourth proportional to 1,280.57, 1,921.30 and 733.21 is: 1,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.57 : 1,921.30 = 733.21 : x
  2. Step 2: Convert to fraction form
    1,280.57/1,921.30 = 733.21/x
  3. Step 3: Cross multiply
    1,280.57x = 1,921.30 × 733.21
  4. Step 4: Simplify right side
    1,280.57x = 1,408,709.74
  5. Step 5: Solve for x
    x = 1,408,709.74/1,280.57
  6. Step 6: Final answer
    x = 1,100.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.